"Stewart is an accomplished college hitter whose power should play well in our park at Camden Yards," scouting director Gary Rajsich said. "We are excited to have him."
Stewart batted .318 with 15 home runs, 59 RBIs, a .500 on-base percentage and 69 walks -- which led the nation -- as a junior this past season.
The Draft continues on Tuesday with Rounds 3-10. The MLB.com preview show begins at 12:30 p.m. ET, with exclusive coverage of Rounds 3-10 beginning at 1 p.m. ET.
Stewart's selection is one of three for the Orioles on Monday, as Baltimore also has picks 36 and 68.